A rectangular board is 2 by 18 units. The foci of an ellipse are located to produce
the largest area. A string is connected to the foci and pulled taut by a pencil in
order to draw the ellipse. Find the length of the string

Question

anonymous · Answer

it is equal to the major axis=18 unit

anonymous · Answer

can you be more specific ? how to solve this ?

dumbcow · Answer

the sum of the distances from any point on an ellipse to the foci is equal to length of major axis

anonymous · Answer

yes....and to have a largest area the length of major axis will be equal to the length of board